Sentence examples for differentiable function from inspiring English sources

(Indeed, in 1872 Weierstrass produced the first example of a continuous function that cannot be differentiated at any point a function now known as a nowhere differentiable function).

For some simple cases, for example, f(x) : ℝ → ℝ is continuously differentiable function of one variable, its injectivity is equivalent to that its differential is nonzero everywhere.

Evaluating an Element of the Clarke Generalized Jacobian of a Piecewise Differentiable Function.

This idiosyncrasy of an apparently differentiable function caused consternation among the school of analysts who depended heavily upon intuition.

A differentiable function must be continuous, but the converse is false.

We explain when each member of this family is a differentiable function and exhibit a formula for its derivative.

An example is finding the maximum value of a continuously differentiable function f(x) defined in some interval a ≤ x ≤ b.

He showed that, once the concepts of a continuous function and limit are defined, the concepts of a differentiable function and an integrable function can be defined in terms of them.

Like a vibrating string, the motion of a fluid is rather arbitrary, although not completely d'Alembert was surprised to notice that a combination of the velocity components, u + iv, was a differentiable function of x + iy.

be a continuously differentiable function.

Let be a differentiable function on.